Influence of Lévy Noise on Decoherence: A Parametric Analysis of the Yule-Simon Distribution

The parameter α governs both the probability distribution of the Yule-Simon distribution and the characteristics of the noise events. The influence of Lévy noise on decoherence rates has been investigated across a range of α values. For α exceeding unity, decoherence progresses exponentially. However, when α is less than or equal to one, the initial decoherence exhibits a stretched exponential behavior, followed by a power-law distribution over extended time scales. This decay is considerably slower than that observed with white noise.